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Binary Numbers.

1s_complement.

2s_complement.

Binary Subtraction.

Examples.

Sign_magnitude.

Gray coding.

BCD coding.

Digital gates.

NAND NOR & XNOR.

Theorems.

Boolean Functions.

BFunc Examples.

Minterm Maxterm.

Sum of Minterms.

Prdt of Maxterms.

2 var K-map.

3 var K-map.

4 var K-map.

5 var K-map.

Prime Implicant.

PI example.

Combination of fundamental logic gates:

Gate 5:-  NAND

Description: This gate is fundamental of any operation where output is complement of product of all binary inputs.

Output = (Input1 * Input2 …….. * Input N)’

Where, outputs and inputs are all in binary values ’1’ or ’0’

Gate 6:- NOR

Description:  This gate is fundamental of any operation where output is complement of addition of all binary inputs.

Output = (Input1 + Input2 …….. + Input N)’

Where, outputs and inputs are all in binary values ’1’ or ’0’

Gate 7:- Exclusive-NOR (XNOR)

Description:  This gate is fundamental of any operation where output is low only when two binary inputs are different.

Output = (Input1)’*(Input2)’ +  (Input1) * (Input2)

Where, outputs and inputs are all in binary values ’1’ or ’0’

Digital Logic Gates NAND, NOR and XNOR

X (Input 1)
Y (Input 2)
Z (Output)
0
0
1
0
1
1
1
0
1
1
1
0
X (Input 1)
Y (Input 2)
Z (Output)
0
0
1
0
1
0
1
0
0
1
1
0
X (Input 1)
Y (Input 2)
Z (Output)
0
0
1
0
1
0
1
0
0
1
1
1